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Finding the Fourth Proportional to 2,796.44, 4,196.07 and 1,979.96

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Solution

The fourth proportional to 2,796.44, 4,196.07 and 1,979.96 is: 2,970.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.44 : 4,196.07 = 1,979.96 : x
  2. Step 2: Convert to fraction form
    2,796.44/4,196.07 = 1,979.96/x
  3. Step 3: Cross multiply
    2,796.44x = 4,196.07 × 1,979.96
  4. Step 4: Simplify right side
    2,796.44x = 8,308,050.76
  5. Step 5: Solve for x
    x = 8,308,050.76/2,796.44
  6. Step 6: Final answer
    x = 2,970.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.